Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 2435 by Yozzi last updated on 20/Nov/15

Prove that                   Γ′(1)=∫_0 ^∞ e^(−x) lnxdx  is a negative number.

$${Prove}\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Gamma'\left(\mathrm{1}\right)=\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} {lnxdx} \\ $$$${is}\:{a}\:{negative}\:{number}. \\ $$

Commented by prakash jain last updated on 20/Nov/15

Γ′(1)=−γ  will add proof.

$$\Gamma'\left(\mathrm{1}\right)=−\gamma \\ $$$$\mathrm{will}\:\mathrm{add}\:\mathrm{proof}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com